Question 1

True or false: In the circular restricted three-body problem, there are exactly five Lagrange points.

Accepted Answer

True. L1 through L5 are the only equilibrium solutions in this idealized gravitational scenario, where two large bodies orbit in circles.

Question 2

True or false: Objects at Lagrange points are completely stationary relative to the two larger bodies.

Accepted Answer

False. L1, L2, and L3 are unstable; objects drift away. Spacecraft typically orbit these points in halo or Lissajous patterns, not stationary.

Question 3

True or false: Only spacecraft can occupy Lagrange points—natural objects like asteroids never do.

Accepted Answer

False. Trojan asteroids share Jupiter's L4 and L5 points, and Earth has a small companion at L4 called 2010 TK7.

Question 4

True or false: Lagrange points exist in any system where two large bodies orbit each other.

Accepted Answer

True. Lagrange points are equilibrium points in the circular restricted three-body problem, requiring two massive orbiting bodies and a negligible third mass. They exist for any such two-body system.

Question 5

True or false: The James Webb Space Telescope orbits the Sun-Earth L2 point, not Earth itself.

Accepted Answer

True. Webb orbits L2, 1.5 million km from Earth, staying aligned with the Sun and Earth for thermal stability.

Question 6

True or false: A satellite at the Earth-Moon L1 point would always be in Earth's shadow and never see sunlight.

Accepted Answer

False. L1 is between Earth and Moon but not in permanent shadow; its orbit can be designed to avoid eclipses.

Question 7

True or false: L4 and L5 are the only stable Lagrange points, able to hold objects for millions of years.

Accepted Answer

True. L1, L2, and L3 are metastable; only L4 and L5 have gravitational wells that resist perturbations.

Question 8

True or false: The L3 Lagrange point is always hidden behind the Sun, making it impossible to communicate with.

Accepted Answer

False. Direct communication is blocked because L3 is always behind the Sun. However, relay satellites at other Lagrange points (like L4 or L5) could forward signals, so communication is not impossible.

Lagrange Points Trivia Questions